Particle systems with a singular mean-field self-excitation. Application to neuronal networks.

This property, which is a particular instance of a very general notion due to Malcev, was introduced and studied in the group-theoretic setting by Gordon- Vershik [GV97] and St¨

Key-words: Feynman–Kac flow, nonnegative selection function, binary selection function, interacting particle system, extinction time, random number of particles, central limit

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Article 226 of the Treaty on the functioning of the European Union granted Parliament the right to set up temporary committees of inquiry and provided a legal basis for

As in [42], the core of the material presented here is the mean field limit of N -particle systems governed by the equations of classical mechanics in the case where the

In this work, generalizing the techniques introduced by Jabir-Talay-Tomasevic [3], we prove the well- posedness and propagation of chaos for a stochastic particle system in

In this article the linear Boltzmann equation is derived for a par- ticle interacting with a Gaussian random field, in the weak coupling limit, with renewal in time of the random

Brownian regime of finite- N corrections to particle motion in the XY Hamiltonian mean field model.. Bruno V Ribeiro, Marco A Amato,